The final acceleration of the skateboard will be half its initial acceleration
According to Newton's second law, the formula for calculating the force is expressed as:
F = ma .................. 1
If the mass of the skateboard doubled but the net force on it remained constant, then;
m₁ = 2m
F₁ = m₁a₁
F₁ = 2ma₁ ........................ 2
If the force on it is constant then F₁ = F and the second equation becomes;
F = 2ma₁
Divide both equations 1 and 2 to get the acceleration of the skateboard "a₁"
[tex]\frac{F}{F} = \frac{2ma_1}{ma} \\\frac{F}{F} =\frac{2a_1}{a} \\1=\frac{2a_1}{a}\\a=2a_1\\a_1=0.5a[/tex]
This shows that the final acceleration of the skateboard will be half its initial acceleration.
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